Part of the D - dimensional anharmonic oscillator spectra

TL;DR

This paper generalizes the pseudoperturbative shifted-l expansion technique (PSLET) to compute spectra of D-dimensional anharmonic oscillators, leveraging interdimensional degeneracies to improve spectral calculations.

Contribution

The paper extends PSLET to states with arbitrary nodal zeros and utilizes interdimensional degeneracies to analyze D-dimensional anharmonic oscillators.

Findings

PSLET results match well with series and perturbation solutions.

The method effectively computes bound-state spectra in higher dimensions.

Interdimensional degeneracies facilitate spectral analysis.

Abstract

The pseudoperturbative shifted - $l$ expansion technique PSLET [12,16] is generalized for states with arbitrary number of nodal zeros. Interdimensional degeneracies, emerging from the isomorphism between angular momentum and dimensionality of the central force Schr\"odinger equation, are used to construct part of the D - dimensional anharmonic oscillator bound - state spectra. PSLET results are found to compare excellently with those from a series [5], exact and open perturbation [9] solutions.